Найдите корень уравнения 1) 2/3 (1/3x-1/2)=4x+2 1/2

2/3 * 1/3 * x - 2/3 * 1/2 = 4 * x + 2 1/2;

2/(3 * 3) * x - 2/(3 * 2) = 4 * x + (2 * 2 + 1)/2;

2/9 * x - 2/6 = 4 * x + 5/2;

4 * х - 2/9 * х = -2/6 - 5/2;

36/9 * х - 2/9 * х = -2/6 - 15/6;

(36 - 2)/9 * х = -(2 + 15)/6;

34/9 * х = -17/6;

х = -17/6 : 34/9 = -17/6 * 9/34 = -(17 * 9)/(6 * 34) = -3/4;

Ответ: х = -3/4.